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10234422540405 = 3257103397794557
BaseRepresentation
bin1001010011101110001100…
…0111101011100001110101
31100020101211111121011121200
42110323203013223201311
52320140044132243110
633433343453403113
72104261350145050
oct224734307534165
940211744534550
1010234422540405
113296437793318
1211935bb499499
13593142b652ab
142754c4b5da97
1512b34a3cd6c0
hex94ee31eb875

10234422540405 has 96 divisors (see below), whose sum is σ = 20522327115264. Its totient is φ = 4621493657088.

The previous prime is 10234422540323. The next prime is 10234422540413. The reversal of 10234422540405 is 50404522443201.

10234422540405 is a `hidden beast` number, since 1 + 0 + 2 + 34 + 42 + 2 + 540 + 40 + 5 = 666.

It is not a de Polignac number, because 10234422540405 - 210 = 10234422539381 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10234422540405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12483387 + ... + 13277943.

It is an arithmetic number, because the mean of its divisors is an integer number (213774240784).

Almost surely, 210234422540405 is an apocalyptic number.

10234422540405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10234422540405 is an abundant number, since it is smaller than the sum of its proper divisors (10287904574859).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10234422540405 is a wasteful number, since it uses less digits than its factorization.

10234422540405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795075 (or 795072 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 10234422540405 its reverse (50404522443201), we get a palindrome (60638944983606).

The spelling of 10234422540405 in words is "ten trillion, two hundred thirty-four billion, four hundred twenty-two million, five hundred forty thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 103 105 309 315 397 515 721 927 1191 1545 1985 2163 2779 3573 3605 4635 5955 6489 8337 10815 13895 17865 25011 32445 40891 41685 122673 125055 204455 286237 368019 613365 794557 858711 1431185 1840095 2383671 2576133 3972785 4293555 5561899 7151013 11918355 12880665 16685697 27809495 35755065 50057091 81839371 83428485 245518113 250285455 315439129 409196855 572875597 736554339 946317387 1227590565 1577195645 1718626791 2208073903 2838952161 2864377985 3682771695 4731586935 5155880373 6624221709 8593133955 11040369515 14194760805 19872665127 25779401865 32490230287 33121108545 97470690861 99363325635 162451151435 227431612009 292412072583 487353454305 682294836027 1137158060045 1462060362915 2046884508081 3411474180135 10234422540405